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4123403322324 = 22311133019795931
BaseRepresentation
bin111100000000001101111…
…111011000001111010100
3112121012020001210222222120
4330000031333120033110
51020024212222303244
612434133151255540
7603622530641046
oct74001577301724
915535201728876
104123403322324
11134a7a8751170
1256718751a5b0
1323bab20ccba0
14103806679a96
15723d4b22819
hex3c00dfd83d4

4123403322324 has 96 divisors (see below), whose sum is σ = 11307073666560. Its totient is φ = 1153016035200.

The previous prime is 4123403322289. The next prime is 4123403322331. The reversal of 4123403322324 is 4232233043214.

4123403322324 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4782639 + ... + 5578569.

It is an arithmetic number, because the mean of its divisors is an integer number (117782017360).

Almost surely, 24123403322324 is an apocalyptic number.

4123403322324 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4123403322324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5653536833280).

4123403322324 is an abundant number, since it is smaller than the sum of its proper divisors (7183670344236).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4123403322324 is a wasteful number, since it uses less digits than its factorization.

4123403322324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 798981 (or 798979 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 33.

Adding to 4123403322324 its reverse (4232233043214), we get a palindrome (8355636365538).

The spelling of 4123403322324 in words is "four trillion, one hundred twenty-three billion, four hundred three million, three hundred twenty-two thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 66 78 132 143 156 286 429 572 858 1716 3019 6038 9057 12076 18114 33209 36228 39247 66418 78494 99627 117741 132836 156988 199254 235482 398508 431717 470964 795931 863434 1295151 1591862 1726868 2387793 2590302 3183724 4775586 5180604 8755241 9551172 10347103 17510482 20694206 26265723 31041309 35020964 41388412 52531446 62082618 105062892 113818133 124165236 227636266 341454399 455272532 682908798 1365817596 2402915689 4805831378 7208747067 9611662756 14417494134 26432072579 28834988268 31237903957 52864145158 62475807914 79296217737 93713711871 105728290316 124951615828 158592435474 187427423742 317184870948 343616943527 374854847484 687233887054 1030850830581 1374467774108 2061701661162 4123403322324